In　this　paper,　we　propose　a　scheme　to　generate　highly　entangled　Dicke-state　in　circuit　quantum　electrodynamics　(QED)　system,　where　the　quantum　tunneling　between　local　potential　wells　is　manipulated　by　using　Lyapunov　control.　We　employ　two　different　types　of　control　Hamiltonians　to　generate　Dicke-state:　one　is　the　local　Hamiltonian　that　requires　to　individually　modulate　control　fields;　the　other　is　the　global　Hamiltonian　(global　control)　where　the　control　fields　can　be　modulated　uniformly.　Furthermore,　the　target　Dicke-state　can　be　obtained　with　arbitrary　initial　states　when　applying　the　average-value-based　Lyapunov　control.　Numerical　simulations　demonstrate　that　the　generation　of　Dicke-state　is　remarkably　accelerated　by　using　bang–bang　Lyapunov　control,　and　the　multipartite　Dicke-state　is　implemented　at　nanoseconds　without　accurately　controlling　the　evolution　time　in　ultrastrong　coupling　regime.　In　addition,　the　scheme　is　robust　against　some　kinds　of　uncertainties　and　perturbations.　©　2018　Elsevier　Inc.